郭柏灵论文集-第九卷

出版时间：2012-10  出版社：华南理工大学出版社  作者：郭柏灵　著  页数：377  字数：610000  

内容概要

今年是恩师郭柏灵院士70寿辰，华南理工大学出版社决定出版《郭柏灵论文集》。郭老师的弟子，也就是我的师兄弟，推举我为文集作序。这使我深感荣幸。我于l985年考入北京应用物理与计算数学研究所，师从郭柏灵院士和周毓麟院士。研究生毕业后我留在研究所工作，继续跟随郭老师学习和研究偏微分方程理论。老师严谨的治学作风和对后学的精心培养与殷切期望，给我留下了深刻的印象，同时老师在科研上的刻苦精神也一直深深地印在我的脑海中。

书籍目录

2010
The Well-posedness of Stochastic Korteweg-de Vries Benjamin-Ono
Equation
Finite-time Blowup for Zakharov System with Combined Power-type
Nonlinearities
Solutions for the Fractional Landau-Lifshitz Equation
Global Weak Solution for a Equations in Plasma
Global Smooth Solutions for the One-dimensional Spin-polarized
Transport Equation
Regularity Criteria for the Navier-Stokes-Landau-Lifshitz
System
On the Primitive Equations of Large-scale Ocean with Random
Boundary
Martingale and Stationary Solutions for Stochastic Non-Newtonian
Fluids
Instability of Standing Waves for Hamiltonian Wave Equations
Existence of the Weak Solution of Coupled Time-dependent
Ginzburg-LandauEquations
Global Existence of Solutions to the Periodic Initial Value
Problems for Two-dimensional Newton-Boussinesq Equations
Global Existence and Blowup for the Cubic Nonlinear Klein-Gordon
Equationsin Three Space Dimensions
On the Existence and Uniqueness of Smooth Solution for a
Generalized ZakharovEquation
A Note on Vortex Solutions of Landau-Lifshitz Equation
Global Attractor for the Initial-boundary Value Problems for
Ginzburg-Landau Equations for Atomic Fermi gases near the BCS-BEC
Crossover
The Global Attractor of a Damped, Forced Hirota Equation in
H1
Global Weak Solutions To the 1-D Fractional Landau-Lifshitz
Equation ""Stability of the Standing Waves for a Class of
Coupled Nonlinear Klein-Gordon Equations
General Solutions to a Class of Time Fractional Partial
Differential Equations
Existence and Decay of Solutions to the Two-dimensional Fractional
Quasigeostrophic Equation
New Conservative Difference Schemes for a Coupled Nonlinear
Schr'ddinger System
Positons, Negatons and Complexitons of the mKdV Equation with
Non-uniformity Terms
……

编辑推荐

《郭柏灵论文集(第9卷)(精)》收集了郭柏灵院士在2010年中的主要研究成果，是关于非线性发展方程、无穷维动力系统、数学物理、数值分析等方面的专著。文集中涉及的许多问题的研究是郭柏灵先生得到了第一个结果，开创了研究的先河，对国内外同行的研究产生了深远的影响。该文集原创性强、学术价值大、社会影响力大。文集不仅系统地反映了他的科研成就，更重要的是对于从事这方面学习、研究的学者无疑大有裨益。